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Finding the Fourth Proportional to 313,454.79, 432,636.48 and 206,034.81

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Solution

The fourth proportional to 313,454.79, 432,636.48 and 206,034.81 is: 284,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,454.79 : 432,636.48 = 206,034.81 : x
  2. Step 2: Convert to fraction form
    313,454.79/432,636.48 = 206,034.81/x
  3. Step 3: Cross multiply
    313,454.79x = 432,636.48 × 206,034.81
  4. Step 4: Simplify right side
    313,454.79x = 89,138,174,955.87
  5. Step 5: Solve for x
    x = 89,138,174,955.87/313,454.79
  6. Step 6: Final answer
    x = 284,373.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.